For questions 1-11, use the Math_achievement.sav file. As part of a large national education study, a researcher is investigating the relationship between math achievement and socioeconomic status. Data have been collected on 999 students enrolled in secondary education. Perform at test for independent groups for Math by gender. What is Ho?

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**Group Statistics**

- **Math Achievement**
  - **Male**
    - N: 443
    - Mean: 51.2906
    - Standard Deviation: 12.72363
    - Standard Error Mean: 0.60452
  - **Female**
    - N: 556
    - Mean: 50.4469
    - Standard Deviation: 11.91780
    - Standard Error Mean: 0.50543

**Independent Samples Test**

- **Levene’s Test for Equality of Variances**
  - F: 2.493
  - Sig.: 0.115

- **t-test for Equality of Means**
  
  - **Equal variances assumed**
    - t: 1.079
    - df: 997
    - Sig. (One-Sided p): 0.140
    - Sig. (Two-Sided p): 0.281
    - Mean Difference: 0.84376
    - Standard Error Difference: 0.78216
    - 95% Confidence Interval of the Difference:
      - Lower: -0.69111
      - Upper: 2.37864

  - **Equal variances not assumed**
    - t: 1.071
    - df: 918.491
    - Sig. (One-Sided p): 0.142
    - Sig. (Two-Sided p): 0.285
    - Mean Difference: 0.84376
    - Standard Error Difference: 0.78797
    - 95% Confidence Interval of the Difference:
      - Lower: -0.70267
      - Upper: 2.39020

**Independent Samples Effect Sizes**

- **Math Achievement**

  - **Standardizer**
    - a. The denominator used in estimating the effect sizes.
  - **Cohen’s d**
    - Standardizer: 12.28157
    - Point Estimate: 0.069
    - 95% Confidence Interval:
      - Lower: -0.056
      - Upper: 0.194

  - **Hedges’ correction**
    - Standardizer: 12.29082
    - Point Estimate: 0.069
    - 95% Confidence Interval:
      - Lower: -0.056
      - Upper:
Transcribed Image Text:**Group Statistics** - **Math Achievement** - **Male** - N: 443 - Mean: 51.2906 - Standard Deviation: 12.72363 - Standard Error Mean: 0.60452 - **Female** - N: 556 - Mean: 50.4469 - Standard Deviation: 11.91780 - Standard Error Mean: 0.50543 **Independent Samples Test** - **Levene’s Test for Equality of Variances** - F: 2.493 - Sig.: 0.115 - **t-test for Equality of Means** - **Equal variances assumed** - t: 1.079 - df: 997 - Sig. (One-Sided p): 0.140 - Sig. (Two-Sided p): 0.281 - Mean Difference: 0.84376 - Standard Error Difference: 0.78216 - 95% Confidence Interval of the Difference: - Lower: -0.69111 - Upper: 2.37864 - **Equal variances not assumed** - t: 1.071 - df: 918.491 - Sig. (One-Sided p): 0.142 - Sig. (Two-Sided p): 0.285 - Mean Difference: 0.84376 - Standard Error Difference: 0.78797 - 95% Confidence Interval of the Difference: - Lower: -0.70267 - Upper: 2.39020 **Independent Samples Effect Sizes** - **Math Achievement** - **Standardizer** - a. The denominator used in estimating the effect sizes. - **Cohen’s d** - Standardizer: 12.28157 - Point Estimate: 0.069 - 95% Confidence Interval: - Lower: -0.056 - Upper: 0.194 - **Hedges’ correction** - Standardizer: 12.29082 - Point Estimate: 0.069 - 95% Confidence Interval: - Lower: -0.056 - Upper:
For questions 1–11, use the Math_achievement.sav file. As part of a large national education study, a researcher is investigating the relationship between math achievement and socioeconomic status. Data have been collected on 999 students enrolled in secondary education. Perform a t test for independent groups for Math by gender.

**What is H₀?**

- The mean of group 0 is the same as the mean of group 1
- The mean of group 0 is not the same as the mean of group 1
- The mean math achievement score for boys is not different than the mean math achievement score for girls
- The mean math achievement score for boys is different than the mean math achievement score for girls
- The mean math achievement score for boys is the same as the mean math achievement score for girls
- The mean math achievement score for boys is not the same as the mean math achievement score for girls
- The mean math achievement score for boys is equal to the mean math achievement score for girls
- The mean math achievement score for boys is not equal to the mean math achievement score for girls
Transcribed Image Text:For questions 1–11, use the Math_achievement.sav file. As part of a large national education study, a researcher is investigating the relationship between math achievement and socioeconomic status. Data have been collected on 999 students enrolled in secondary education. Perform a t test for independent groups for Math by gender. **What is H₀?** - The mean of group 0 is the same as the mean of group 1 - The mean of group 0 is not the same as the mean of group 1 - The mean math achievement score for boys is not different than the mean math achievement score for girls - The mean math achievement score for boys is different than the mean math achievement score for girls - The mean math achievement score for boys is the same as the mean math achievement score for girls - The mean math achievement score for boys is not the same as the mean math achievement score for girls - The mean math achievement score for boys is equal to the mean math achievement score for girls - The mean math achievement score for boys is not equal to the mean math achievement score for girls
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